73268779543344 has 360 divisors, whose sum is σ = 272736539056800. Its totient is φ = 17911389450240.

The previous prime is 73268779543331. The next prime is 73268779543367. The reversal of 73268779543344 is 44334597786237.

73268779543344 is a `hidden beast` number, since 7 + 3 + 2 + 6 + 8 + 7 + 79 + 543 + 3 + 4 + 4 = 666.

It is a super-2 number, since 2×73268779543344² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15594819 + ... + 19741730.

It is an arithmetic number, because the mean of its divisors is an integer number (757601497380).

Almost surely, 2^{73268779543344} is an apocalyptic number.

It is an amenable number.

73268779543344 is an abundant number, since it is smaller than the sum of its proper divisors (199467759513456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73268779543344 is a wasteful number, since it uses less digits than its factorization.

73268779543344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35336609 (or 35336589 counting only the distinct ones).

The product of its digits is 2560481280, while the sum is 72.

The spelling of 73268779543344 in words is "seventy-three trillion, two hundred sixty-eight billion, seven hundred seventy-nine million, five hundred forty-three thousand, three hundred forty-four".